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Finding the Fourth Proportional to 5,538.72, 7,639.74 and 4,417.68

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Solution

The fourth proportional to 5,538.72, 7,639.74 and 4,417.68 is: 6,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.72 : 7,639.74 = 4,417.68 : x
  2. Step 2: Convert to fraction form
    5,538.72/7,639.74 = 4,417.68/x
  3. Step 3: Cross multiply
    5,538.72x = 7,639.74 × 4,417.68
  4. Step 4: Simplify right side
    5,538.72x = 33,749,926.60
  5. Step 5: Solve for x
    x = 33,749,926.60/5,538.72
  6. Step 6: Final answer
    x = 6,093.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.